Question

What is the standard form of a polynomial `(4x^2 - 3x + 2) (2x^2 + 5x - 7)`?

Answer 1

`8x^4+4x^3-39x^2+31x-14`

Explanation:

`=8x^4-6x^3+4x^2+10x^3-15x^2+10x-28x^2+21x-14`

Rearranging like terms together,
P`=8x^4-6x^3+10x^3+4x^2-15x^2-28x^2+10x+21x-14`

Further simplifying,
`=8x^4+4x^3-39x^2+31x-14`